Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Application of braid groups in physics and in informatics (for 2D Hall systems - explanation of composite fermion structure and geometry of information)

2011/02/A/ST3/00116

Keywords:

topological methods in physics and informatics braid groups composite fermions

Descriptors:

  • ST3_17: Other related subjects
  • ST2_15: Metrology and measurement methods
  • ST1_18: Control theory and optimisation

Panel:

ST3 - Condensed matter physics: structure, electronic properties, fluids, nanosciences, biological physics

Host institution :

Politechnika Wrocławska, Wydział Podstawowych Problemów Techniki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Lucjan Jacak 

Number of co-investigators in the project: 6

Call: MAESTRO 1 - announced on 2011-06-15

Amount awarded: 1 250 000 PLN

Project start date (Y-m-d): 2012-04-27

Project end date (Y-m-d): 2018-04-27

Project duration:: 72 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (23)
  • Book publications / chapters in book publications (4)
  1. Difference in hierarchy of FQHE between monolayer and bilayer graphene
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Physics Letters A (rok: 2015, tom: 379, strony: 2130-2134), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2015.07.001 - link to the publication
  2. Explanation of Comprosite Fermion Structure in Fractional Quantum Hall Systems
    Authors:
    Janusz Jacak, Ryszard Gonczarek, Lucjan Jacak, Ireneusz Jóźwiak,
    Academic press:
    International Journal of Modern Physics B (rok: 2012, tom: 26, strony: 1230011-1230071), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217979212300113 - link to the publication
  3. Hierarchy of fillings for the FQHE in monolayer graphene
    Authors:
    Patrycja Łydżba, Lucjan Jacak, Janusz Jacak
    Academic press:
    Scientific Reports (Nature) (rok: 2015, tom: 5, strony: 14287-1-15), Wydawca: Nature Publishing Group
    Status:
    Published
    DOI:
    10.1038/srep14287 - link to the publication
  4. On triggering role of carrier mobility for Laughlin state organization
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Pis'ma v ZhETF (rok: 2013, tom: 98, strony: 776-781), Wydawca: International Academic Publishing Company (IAPC) "Nauka/Interperiodica"
    Status:
    Published
    DOI:
    10.7868/S0370274X13230094 - link to the publication
  5. Propagation of Collective Surface Plasmons in Linear Periodic Ionic Structures: Plasmon Polariton Mechanism of Saltatory Conduction in Axons
    Authors:
    Witold A. Jacak
    Academic press:
    The Journal of Physical Chemistry C (rok: 2015, tom: 119, strony: 10015-10030), Wydawca: ACS Publications
    Status:
    Published
    DOI:
    10.1021/acs.jpcc.5b02418 - link to the publication
  6. Topological approach to quantum Hall effects and its important applications: higher Landau levels, graphene and its bilayer
    Authors:
    J. Jacak, P. Łydżba, L. Jacak
    Academic press:
    European Physical Journal B (rok: 2017, tom: 90, strony: 90, p. 1-20), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjb/e2017-80065-0 - link to the publication
  7. Unconventional fractional quantum Hall effect in monolayer and bilayer graphene
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Science and Technology of Advanced Materials (rok: 2016, tom: 17, strony: 149-165), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1080/14686996.2016.1145531 - link to the publication
  8. Commensurability Condition and Fractional Quantum Hall Effect Hierarchy in Higher Landau Levels
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    JETP Letters (rok: 2015, tom: 102, strony: 19-25), Wydawca: Springer US
    Status:
    Published
    DOI:
    10.1134/S0021364015130044 - link to the publication
  9. Explanation of nu=−1/2 fractional quantum Hall state in bilayer graphene
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Proceedings of the Royal Society A (rok: 2016, tom: 472, strony: 20150330-1-13), Wydawca: The Royal Society
    Status:
    Published
    DOI:
    10.1098/rspa.2015.0330 - link to the publication
  10. Many-body wave functions for correlated systems in magnetic fields: Monte Carlo simulations in the lowest Landau level
    Authors:
    P. Łydzaba and J. Jacak
    Academic press:
    Journal of Physics CM (rok: 2018, tom: 30, strony: 365601-365617), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-648X/aad653 - link to the publication
  11. Phase diagrams for super uidity of indirect excitons in double Hall systems GaAs/GaAlAs/GaAs and bilayer-graphene/hBN/bilayer- graphene
    Authors:
    J. Jacak
    Academic press:
    EPL (Europhysics Letters) (rok: 2018, tom: 123, strony: 16001-1-16 (with Supplementary Materials)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1209/0295-5075/123/16001 - link to the publication
  12. Plasmons in Finite Spherical Electrolyte Systems: RPA Effective Jellium Model for Ionic Plasma Excitations
    Authors:
    Witold A. Jacak
    Academic press:
    Plasmonics (rok: 2015, tom: 11, strony: 637–651), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11468-015-0064-6 - link to the publication
  13. Commensurability condition and hierarchy of fillings for FQHE in higher Landau levels in conventional 2DEG systems and in graphene—monolayer and bilayer
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Physica Scripta (rok: 2016, tom: 91, strony: 015802-1-13), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/0031-8949/91/1/015802 - link to the publication
  14. Homotopy approach to fractional quantum Hall effect
    Authors:
    Janusz Jacak, Patrycja Łydżba, Lucjan Jacak
    Academic press:
    Applied Mathematics (rok: 2015, tom: 6, strony: 345-358), Wydawca: Scientific Research Publishing
    Status:
    Published
    DOI:
    10.4236/am.2015.62033 - link to the publication
  15. Identifying Particle Correlations in Quantum Hall Systems
    Authors:
    Patrycja Łydżba i Janusz Jacak
    Academic press:
    Annalen der Physik (rok: 2018, tom: 530, strony: 1700221 (1-19)), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/andp.201700221 - link to the publication
  16. The Triggering Role of Carrier Mobility in the Fractional Quantum Hall Effect Formation—An Evidence in Graphene
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Journal of Modern Physics - za zaproszeniem do Special Issue: Topological Insulator and Low Dimensional Quantum Physics (rok: 2013, tom: 4, strony: 1591-1596), Wydawca: Scientific Research Publishing
    Status:
    Published
    DOI:
    10.4236/jmp.2013.412196 - link to the publication
  17. Topological origin and not purely antisymmetric wave functions of many-body states in the lowest Landau level
    Authors:
    P. Łydzba, J. Jacak
    Academic press:
    Proceedings of the Royal Society A (rok: 2017, tom: 473, strony: 20160758, p. 1-13), Wydawca: The Royal Society
    Status:
    Published
    DOI:
    10.1098/rspa.2016.0758 - link to the publication
  18. Unconventional fractional quantum Hall effect in bilayer graphene
    Authors:
    J. Jacak
    Academic press:
    Scientific Reports (rok: 2017, tom: 7, strony: 8720 p. 1-27 (with Supplementary Information)), Wydawca: Nature
    Status:
    Published
    DOI:
    10.1038/s41598-017-09166-5 - link to the publication
  19. Application of path-integral quantization to indistinguishable particle systems topologically confined by a magnetic field
    Authors:
    J. Jacak
    Academic press:
    Physical Review A (rok: 2018, tom: 97, strony: 012108 p. 1-11), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevA.97.012108 - link to the publication
  20. Fractional quantum Hall effect revisited
    Authors:
    Janusz Jacak, Patrycja Łydżba, Lucjan Jacak
    Academic press:
    Physica B: Condensed Matter (rok: 2015, tom: 475, strony: 122-139), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physb.2015.07.024 - link to the publication
  21. On triggering role of carrier mobility for Laughlin state organization
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    JETP Letters (rok: 2013, tom: 98, strony: 684-688), Wydawca: Springer US
    Status:
    Published
    DOI:
    10.1134/S0021364013240090 - link to the publication
  22. The commensurability condition and fractional quantum Hall effect hierarchy in higher Landau levels
    Authors:
    Janusz Jacak, Lucjan Jacak
    Academic press:
    Pis'ma v ZhETF (rok: 2015, tom: 102, strony: 23-29), Wydawca: International Academic Publishing Company (IAPC) "Nauka/Interperiodica"
    Status:
    Published
    DOI:
    10.7868/S0370274X15130056 - link to the publication
  23. Topological model of composite fermions in the cyclotron braid generator picture: New insight
    Authors:
    Beata Staśkiewicz
    Academic press:
    Results in Physics (rok: 2018, tom: 8, strony: 848-861), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.rinp.2018.01.014 - link to the publication
  1. Fractional Quantum Hall Effect in Graphene, a Topological Approach
    Authors:
    J. E. Jacak
    Book:
    Handbook of Graphene, Volume II : Handbook of Graphene Set: Physics, Chemistry, and Biology; Tobias Stauber (ed.) (rok: 2019, tom: Chapter 14, strony: 413–454), Wydawca: Wiley / Scrivener Publishing LLC
    Status:
    Published
  2. Application of Braid Groups in 2D Hall System Physics: Composite Fermion Structure (cała monografia)
    Authors:
    Janusz Jacak, Ryszard Gonczarek, Lucjan Jacak, Ireneusz Jóźwiak,
    Book:
    Application of Braid Groups in 2D Hall System Physics: Composite Fermion Structure (rok: 2012, tom: książka, strony: 1-147), Wydawca: World Scientific
    Status:
    Published
  3. Bilayer Graphene as the Material for Study of the Unconventional Fractional Quantum Hall Effect
    Authors:
    Janusz Jacak
    Book:
    Graphene, Ed. G. Z. Kyzas & A. Ch. Mitropoulos (rok: 2017, tom: Chapter 3, strony: 49-76), Wydawca: INTECH
    Status:
    Published
  4. Ultra-Quantum 2D Materials: Graphene, Bilayer Graphene, and Other Hall Systems—New Non-Local Quantum Theory of Hall Physics
    Authors:
    P. Łydzaba, J. Jacak
    Book:
    Recent Advances in Graphene Research, Ed. P. Nayak (rok: 2016, tom: Chapter 1, strony: 45380), Wydawca: INTECH
    Status:
    Published